Idempotent algebras of weighted surface
algebras include many local algebra, furthermore
socle deformations occur naturally, therefore our definition of
hybrid algebras must included these. In our general construction of
weighted surface algebras [1]}, we have allowed virtual arrows, with
the benefit of significantly enlarging the class of algebras. The
price to pay is that zero relations are more complicated
(see [2]}), and inevitably this
is also the case for hybrid algebras. As well we need to
exclude a few small algebras
(see REF ), which was also done in [1]}.
